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Simplifying 9.3t2 + 4t + 4.1 = 0 Reorder the terms: 4.1 + 4t + 9.3t2 = 0 Solving 4.1 + 4t + 9.3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 9.3 the coefficient of the squared term: Divide each side by '9.3'. 0.4408602151 + 0.4301075269t + t2 = 0 Move the constant term to the right: Add '-0.4408602151' to each side of the equation. 0.4408602151 + 0.4301075269t + -0.4408602151 + t2 = 0 + -0.4408602151 Reorder the terms: 0.4408602151 + -0.4408602151 + 0.4301075269t + t2 = 0 + -0.4408602151 Combine like terms: 0.4408602151 + -0.4408602151 = 0.0000000000 0.0000000000 + 0.4301075269t + t2 = 0 + -0.4408602151 0.4301075269t + t2 = 0 + -0.4408602151 Combine like terms: 0 + -0.4408602151 = -0.4408602151 0.4301075269t + t2 = -0.4408602151 The t term is 0.4301075269t. Take half its coefficient (0.2150537635). Square it (0.04624812120) and add it to both sides. Add '0.04624812120' to each side of the equation. 0.4301075269t + 0.04624812120 + t2 = -0.4408602151 + 0.04624812120 Reorder the terms: 0.04624812120 + 0.4301075269t + t2 = -0.4408602151 + 0.04624812120 Combine like terms: -0.4408602151 + 0.04624812120 = -0.3946120939 0.04624812120 + 0.4301075269t + t2 = -0.3946120939 Factor a perfect square on the left side: (t + 0.2150537635)(t + 0.2150537635) = -0.3946120939 Can't calculate square root of the right side. The solution to this equation could not be determined.
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